NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Viscous aerodynamic design using the adjoint variable approachThe use of classical optimal control methods, in particular variational methods, to solve the airfoil optimization problem, by deriving a set of adjoint (costate) equations and boundary conditions has already been done for inviscid (potential and Euler flows) and two dimensional, steady state, incompressible flow governed by the Navier-Stokes equations. The interior and boundary terms of the volume integral have been derived (in this work) for the steady Navier-Stokes equations in three dimensions for a viscous, compressible heat conducting fluid. This can be used to derive the adjoint equations and numerical boundary conditions for general classes of problems and hence paves the way for a solution to the aerodynamic optimization problem for compressible viscous flows. The next steps to the realization of that goal are projected as below. The usual square integral pressure functional as an objective function is being replaced by a more realistic drag functional subject to a lift constraint. The feasibility of attempting the more difficult time dependent problem is being investigated. It remains to get the full system of adjoint equations and boundary conditions with the new functional. The state and adjoint equations must be discretized and coded. An appropriate optimization program must be used (steepest descents seems inadequate) and various known airfoil shapes should be recovered in test cases of the computer program.
Document ID
19960020767
Document Type
Conference Paper
Authors
DeRise, George
(Thomas Nelson Community Coll. Hampton, VA United States)
Date Acquired
August 17, 2013
Publication Date
December 1, 1995
Publication Information
Publication: The 1995 NASA-ODU American Society for Engineering Education (ASEE) Summer Faculty Fellowship Program
Subject Category
Cybernetics
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

Related Records

IDRelationTitle19960020755Analytic PrimaryThe 1995 NASA-ODU American Society for Engineering Education (ASEE) Summer Faculty Fellowship Program
Document Inquiry
No Preview Available